In Exercises 47 50, demonstrate the property thatregardless of the initial and terminal
Chapter 15, Problem 49(choose chapter or problem)
In Exercises 47– 50, demonstrate the property that
\(\int _C F \cdot\ dr=0\)
regardless of the initial and terminal points of C, if the tangent vector r’(t) is orthogonal to the force field F.
\(F(x,\ y)=(x^3-2x^2)i+(x-\frac{y}{2})j\)
\(C:\ r(t)=ti+t^2j\)
Text Transcription:
int _C F cdot dr = 0
F(x, y) = (x^3 - 2x^2)+(x-y/2)j
C: r(t) = ti + t^2 j
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